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A sample space diagram lists or tabulates all equally likely outcomes of one or two events, such as rolling two dice, and is used to count outcomes and calculate probabilities. It's examined right across GCSE and iGCSE Maths. Work through it free on eClassroom, with clear worked examples and instantly-marked questions that build your confidence for the exam.
How you do it
Draw a grid with one event down the side and the other along the top, and fill in every combined outcome. Count the ones that satisfy the condition and divide by the total number of cells.
Before you start
Everything here rests on basic probability. Foundation and Higher tier students all cover it. The same ideas return in two-way tables and combined events. Filed under Probability.
What you learn
A sample space diagram lists every equally likely outcome of an experiment, so you can count them and read off probabilities. A sample space is the list of all possible outcomes. Once the outcomes are listed, P(event) = favourable cells ÷ total cells. The course works through listing outcomes, A two-dice grid and probabilities from a sample space. Every section has instant-feedback practice questions matched to Edexcel iGCSE 4MA1 and the other major GCSE boards, and the course finishes with full exam-style questions you mark yourself.
Related Topics
In our GCSE maths courses, Sample Space Diagrams belongs to Probability and is met in Foundation tier. The course is built from 3 concept sections, 2 worked examples and 3 check points before the exam-style set. It sits alongside Tree Diagrams, Two-Way Tables, Venn Diagrams and Venn Diagrams & Set Notation in the same strand. For unlimited practice, the Probability revision engine builds new questions on demand and records your accuracy.
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